Class information for:
Level 1: MULTIFRONTAL METHOD//ELIMINATION TREE//SPARSE CHOLESKY FACTORIZATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13041 864 23.6 37%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
939 2             DOMAIN DECOMPOSITION//PRECONDITIONER//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 10969
13041 1                   MULTIFRONTAL METHOD//ELIMINATION TREE//SPARSE CHOLESKY FACTORIZATION 864

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 MULTIFRONTAL METHOD authKW 754598 4% 65% 33
2 ELIMINATION TREE authKW 520461 2% 82% 18
3 SPARSE CHOLESKY FACTORIZATION authKW 441750 2% 83% 15
4 FRONTAL METHOD authKW 418498 2% 79% 15
5 ATLAS address 407106 3% 40% 29
6 SPARSE MATRICES authKW 395562 8% 16% 68
7 SPARSE LU FACTORIZATION authKW 282723 1% 100% 8
8 SPARSE UNSYMMETRIC MATRICES authKW 282723 1% 100% 8
9 SPARSE MATRIX FACTORIZATION authKW 259664 2% 57% 13
10 SPARSE MATRIX ALGORITHMS authKW 251308 1% 89% 8

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 10932 45% 0% 386
2 Computer Science, Theory & Methods 6642 24% 0% 211
3 Computer Science, Software Engineering 3970 16% 0% 138
4 Computer Science, Interdisciplinary Applications 1429 11% 0% 99
5 Engineering, General 1325 10% 0% 85
6 Mathematics, Interdisciplinary Applications 1028 8% 0% 71
7 Computer Science, Hardware & Architecture 799 6% 0% 49
8 Mathematics 129 7% 0% 59
9 COMPUTER APPLICATIONS & CYBERNETICS 116 0% 0% 3
10 Engineering, Civil 90 3% 0% 30

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ATLAS 407106 3% 40% 29
2 DANISH AGCY ENVIRONM PROTECT AIR POLLUT 70681 0% 100% 2
3 MULTIDISCIPLINARY PARALLEL VECTOR COMPUTAT 63610 0% 60% 3
4 COMP METHODS MET 45434 0% 43% 3
5 AVENUES URBAN SYST ENGN 35340 0% 100% 1
6 CHAIR OPTIMIZAT CONTROL THEORY 35340 0% 100% 1
7 CNRSUMR INFORMAT PARALLELISME 35340 0% 100% 1
8 EARTH SCI ENGN NUMER POROUS MEDIA 35340 0% 100% 1
9 ELE DE FRANCE 35340 0% 100% 1
10 FAKULTAT IV HGEBIET REGELUNGSSYSTEME 35340 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 162496 8% 6% 73
2 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 73348 5% 5% 42
3 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 67836 7% 3% 64
4 PARALLEL COMPUTING 55578 7% 3% 62
5 SIAM JOURNAL ON SCIENTIFIC COMPUTING 17149 5% 1% 41
6 NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 15329 2% 2% 21
7 INTERNATIONAL JOURNAL OF HIGH SPEED COMPUTING 12971 1% 6% 6
8 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 6857 5% 0% 40
9 JOURNAL OF COMPUTATIONAL SCIENCE 4535 1% 2% 8
10 INTERNATIONAL JOURNAL OF SUPERCOMPUTER APPLICATIONS AND HIGH PERFORMANCE COMPUTING 4062 1% 2% 5

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 MULTIFRONTAL METHOD 754598 4% 65% 33 Search MULTIFRONTAL+METHOD Search MULTIFRONTAL+METHOD
2 ELIMINATION TREE 520461 2% 82% 18 Search ELIMINATION+TREE Search ELIMINATION+TREE
3 SPARSE CHOLESKY FACTORIZATION 441750 2% 83% 15 Search SPARSE+CHOLESKY+FACTORIZATION Search SPARSE+CHOLESKY+FACTORIZATION
4 FRONTAL METHOD 418498 2% 79% 15 Search FRONTAL+METHOD Search FRONTAL+METHOD
5 SPARSE MATRICES 395562 8% 16% 68 Search SPARSE+MATRICES Search SPARSE+MATRICES
6 SPARSE LU FACTORIZATION 282723 1% 100% 8 Search SPARSE+LU+FACTORIZATION Search SPARSE+LU+FACTORIZATION
7 SPARSE UNSYMMETRIC MATRICES 282723 1% 100% 8 Search SPARSE+UNSYMMETRIC+MATRICES Search SPARSE+UNSYMMETRIC+MATRICES
8 SPARSE MATRIX FACTORIZATION 259664 2% 57% 13 Search SPARSE+MATRIX+FACTORIZATION Search SPARSE+MATRIX+FACTORIZATION
9 SPARSE MATRIX ALGORITHMS 251308 1% 89% 8 Search SPARSE+MATRIX+ALGORITHMS Search SPARSE+MATRIX+ALGORITHMS
10 NESTED DISSECTION 226159 2% 40% 16 Search NESTED+DISSECTION Search NESTED+DISSECTION

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref. in
cl.		 Shr. of ref. in
cl.		 Citations
1 DAVIS, TA , RAJAMANICKAM, S , SID-LAKHDAR, WM , (2016) A SURVEY OF DIRECT METHODS FOR SPARSE LINEAR SYSTEMS.ACTA NUMERICA. VOL. 25. ISSUE . P. 383 -566 306 86% 0
2 DAVIS, TA , (2011) ALGORITHM 915, SUITESPARSEQR: MULTIFRONTAL MULTITHREADED RANK-REVEALING SPARSE QR FACTORIZATION.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 38. ISSUE 1. P. - 38 86% 13
3 DAVIS, TA , (2004) A COLUMN PRE-ORDERING STRATEGY FOR THE UNSYMMETRIC-PATTERN MULTIFRONTAL METHOD.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 30. ISSUE 2. P. 165-195 36 90% 178
4 KIM, MK , KIM, SJ , (2012) HYBRID PARALLELISM OF MULTIFRONTAL LINEAR SOLUTION ALGORITHM WITH OUT OF CORE CAPABILITY FOR FINITE ELEMENT ANALYSIS.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. VOL. 84. ISSUE 4. P. 297 -331 24 92% 1
5 GOULD, NIM , SCOTT, JA , HU, Y , (2007) A NUMERICAL EVALUATION OF SPARSE DIRECT SOLVERS FOR THE SOLUTION OF LARGE SPARSE SYMMETRIC LINEAR SYSTEMS OF EQUATIONS.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 33. ISSUE 2. P. - 27 87% 33
6 AVRON, H , SHKLARSKI, G , TOLEDO, S , (2008) PARALLEL UNSYMMETRIC-PATTERN MULTIFRONTAL SPARSE LU WITH COLUMN PREORDERING.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 34. ISSUE 2. P. - 26 93% 3
7 DEMMEL, JW , EISENSTAT, SC , GILBERT, JR , LI, XYS , LIU, JWH , (1999) A SUPERNODAL APPROACH TO SPARSE PARTIAL PIVOTING.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. VOL. 20. ISSUE 3. P. 720 -755 20 91% 346
8 HEATH, MT , NG, E , PEYTON, BW , (1991) PARALLEL ALGORITHMS FOR SPARSE LINEAR-SYSTEMS.SIAM REVIEW. VOL. 33. ISSUE 3. P. 420-460 39 80% 84
9 LI, XYS , DEMMEL, JW , (2003) SUPERLU_DIST: A SCALABLE DISTRIBUTED-MEMORY SPARSE DIRECT SOLVER FOR UNSYMMETRIC LINEAR SYSTEMS.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 29. ISSUE 2. P. 110-140 22 79% 204
10 HOGG, JD , REID, JK , SCOTT, JA , (2010) DESIGN OF A MULTICORE SPARSE CHOLESKY FACTORIZATION USING DAGS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 32. ISSUE 6. P. 3627 -3649 20 87% 18

Classes with closest relation at Level 1


Rank Class id link
1 10839 INCOMPLETE FACTORIZATION//SPARSE LINEAR SYSTEMS//SPARSE APPROXIMATE INVERSE
2 11466 DENSE LINEAR ALGEBRA//LEVEL 3 BLAS//BLAS
3 18531 GENERAL BEM//EXPLICIT FINITE ELEMENT DYNAMICS//GENERAL NON LINEAR DIFFERENTIAL OPERATOR
4 25059 MINIMUM CYCLE BASIS//FORCE METHOD//NULL BASIS
5 37085 AD T ALGORITHMS SYST GRP//AGENT PLATFORM AS A SERVICE//AUGMENTED CLOUD
6 23973 LINEAR DISCREPANCY//ANTIBANDWIDTH//WEAK DISCREPANCY
7 19130 COMPUTERS & CHEMICAL ENGINEERING//ASCENDING FLOW RIPENING CHAMBER//DRY SAUSAGES SEASONING STAGE
8 11639 FLOORPLANNING//PLACEMENT//PHYSICAL DESIGN
9 27088 VERTEX RANKING//CONFLICT FREE COLORING//EDGE RANKING
10 8262 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//NUMERICAL RANK//RANK REVEALING

Go to start page